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Finding the Fourth Proportional to 216,877.15, 299,282.38 and 120,079.08

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Solution

The fourth proportional to 216,877.15, 299,282.38 and 120,079.08 is: 165,704.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,877.15 : 299,282.38 = 120,079.08 : x
  2. Step 2: Convert to fraction form
    216,877.15/299,282.38 = 120,079.08/x
  3. Step 3: Cross multiply
    216,877.15x = 299,282.38 × 120,079.08
  4. Step 4: Simplify right side
    216,877.15x = 35,937,552,850.61
  5. Step 5: Solve for x
    x = 35,937,552,850.61/216,877.15
  6. Step 6: Final answer
    x = 165,704.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.